Ideal gases, Thermodynamics

I'm trying to show a formula for an ideal gas, but I don't get the right results.

1. The problem statement, all variables and given/known data
For an ideal gas PV = nRT where n is the number of momles. Show that the heat transferred in an infinitesimal quasistatic process of an ideal gas can be written as

What have I done wrong? There is no dependens on n in my final equation.
I know there should be bars on dW and dQ but i didn't got it to work in latex :/

Your answer is correct. The solution posed by the question is wrong. There is no "n" in the denominator. dQ must have the same dimensions as VdP or PdV, which has dimensions of energy. C_v/R is dimensionless.